345626101626543 has 8 divisors (see below), whose sum is σ = 512038669076400. Its totient is φ = 230417401084344.

The previous prime is 345626101626539. The next prime is 345626101626557.

345626101626543 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 2 + 6 + 1 + 0 + 1 + 626 + 5 + 4 + 3 = 666.

345626101626543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345626101626543 - 2² = 345626101626539 is a prime.

It is a super-2 number, since 2×345626101626543² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 345626101626543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345626101626563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6400483363428 + ... + 6400483363481.

It is an arithmetic number, because the mean of its divisors is an integer number (64004833634550).

Almost surely, 2^{345626101626543} is an apocalyptic number.

345626101626543 is a deficient number, since it is larger than the sum of its proper divisors (166412567449857).

345626101626543 is a wasteful number, since it uses less digits than its factorization.

345626101626543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12800966726918 (or 12800966726912 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 345626101626543 in words is "three hundred forty-five trillion, six hundred twenty-six billion, one hundred one million, six hundred twenty-six thousand, five hundred forty-three".